Results 1 to 10 of about 47 (44)

On the compactness and the essential norm of operators defined by infinite tridiagonal matrices

Concrete Operators, 2023
In this article, all sequences u{\boldsymbol{u}}, v{\boldsymbol{v}}, and w{\boldsymbol{w}} that define continuous and compact tridiagonal operators Tu,v,w{T}_{u,v,w} acting on the weighted sequence space lβ2{l}_{\beta }^{2} were characterized ...
Caicedo Alexander, Ramos-Fernández Julio C., Salas-Brown Margot   +2 more
doaj   +1 more source

Domination and Kwapień’s factorization theorems for positive Cohen p–nuclear m–linear operators

Moroccan Journal of Pure and Applied Analysis, 2021
In this paper, we introduce and study the concept of positive Cohen p-nuclear multilinear operators between Banach lattice spaces. We prove a natural analog to the Pietsch domination theorem for this class.
Bougoutaia Amar, Belacel Amar, Hamdi Halima   +2 more
doaj   +1 more source

Bu’s theorem in the positive situation

Moroccan Journal of Pure and Applied Analysis, 2022
In this paper, we valorize the relationship between positive p−summing operators and positive strongly q−summing operators using (Contemp. Math. 328, 145 − 149 (2003)).
Bougoutaia Amar, Belacel Amar
doaj   +1 more source

The essential norm of bounded diagonal infinite matrices acting on Banach sequence spaces

Demonstratio Mathematica
We calculate the essential norm of bounded diagonal infinite matrices acting on Köthe sequence spaces. As a consequence of our result, we obtain a recent criteria for the compactness of multiplication operator acting on Köthe sequence spaces.
Fernández Julio C. Ramos, Rivera-Sarmiento María A., Salas-Brown Margot   +2 more
doaj   +1 more source

The class of Banach lattices is not primary

Forum of Mathematics, Sigma
Building on a recent construction of Plebanek and Salguero-Alarcón, which solved the Complemented Subspace Problem for $C(K)$ -spaces, and the subsequent work of De Hevia, Martínez-Cervantes, Salguero-Alarcón, and Tradacete solving the Complemented
Antonio Acuaviva
doaj   +1 more source

Some results on disjointly weakly compact sets

Demonstratio Mathematica
We give an operator characterization of disjointly weakly compact sets and show that disjointly weakly compact sets coincide with reciprocal Dunford-Pettis sets.
Akay Barış, Gök Ömer
doaj   +1 more source

Continuity and essential norm of operators defined by infinite tridiagonal matrices in weighted Orlicz and l∞ spaces

Open Mathematics
In this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C., Ramos-Salas Carlos J., Salas-Brown Margot   +2 more
doaj   +1 more source

Maximal function and generalized fractional integral operators on the weighted Orlicz-Lorentz-Morrey spaces

Open Mathematics
We define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces.
Li Hongliang
doaj   +1 more source

Should Prediabetes be Treated Pharmacologically? [PDF]

Diabetes Ther, 2023
Davidson MB.
europepmc   +1 more source

Haar null closed and convex sets in separable Banach spaces. [PDF]

Bull Lond Math Soc, 2023
Ravasini D.
europepmc   +1 more source